57801488247441 has 9 divisors (see below), whose sum is σ = 83491071524809. Its totient is φ = 38534310292836.

The previous prime is 57801488247367. The next prime is 57801488247493. The reversal of 57801488247441 is 14474288410875.

The square root of 57801488247441 is 7602729.

It is a perfect power (a square), and thus also a powerful number.

57801488247441 is a `hidden beast` number, since 5 + 7 + 8 + 0 + 1 + 48 + 82 + 474 + 41 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 57801488247441 - 2¹⁹ = 57801487723153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57801488247641) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21541066 + ... + 24075308.

Almost surely, 2^{57801488247441} is an apocalyptic number.

57801488247441 is the 7602729-th square number.

57801488247441 is the 3801365-th centered octagonal number.

It is an amenable number.

57801488247441 is a deficient number, since it is larger than the sum of its proper divisors (25689583277368).

57801488247441 is an frugal number, since it uses more digits than its factorization.

57801488247441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5068492 (or 2534246 counting only the distinct ones).

The product of its (nonzero) digits is 64225280, while the sum is 63.

The spelling of 57801488247441 in words is "fifty-seven trillion, eight hundred one billion, four hundred eighty-eight million, two hundred forty-seven thousand, four hundred forty-one".